If: 4x+(-12) = 8 then 4x = 20 and x = 5
The derivative of 2x2 + 4x + 8 is 4x+4.
y = x² - 2x - 8 Swap x and y to find the inverse: x = y² - 2y - 8 Now get y by itself: y² - 2y = x + 8 (Complete the square): y² - 2y + 1 = x + 9 (y - 1)² = x + 9 y - 1 = ±√(x + 9) y = 1 ±√(x + 9) Then there are two functions: f(x) = 1 - √(x + 9) and f(x) = 1 + √(x + 9) but an inverse can only be one function. The functions above are a mirror image of the original function, but it is not an inverse (graph these functions). There is no inverse. Everything above is completely wrong. This is the inverse: (x+8)/2 I don't know where the x² came from in the first answer, but to work out the question as asked: if y=2x-8 y+8 = 2x (y+8)/2 = x so, as the above answer stated, (x+8)/2 is the answer.
2y = 4x - 16 5y = 4x + 8 Subtract the first equation from the second: 3y = 24 so that y = 8 Substitute this into the first equation: 16 = 4x - 16 ie 32 = 4x so that x = 8 So the solution is (8, 8)
do you mean y = 2x + 8 ? the inverse is y = (x - 8)/2
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
A reciprocal function will flip the original function (reciprocal of 3/5 is 5/3). An inverse function will change the x's and y's of the original function (the inverse of x<4,y>8 is y<4, x>8). Whenever a function is reflected over the line y=x, the result is the inverse of that function. The y=x line starts at the origin (0,0) and has a positive slope of one. All an inverse does is flip the domain and range.
2(4x + 4) = (4x - 12) 8x + 8 = 4x - 12 8x - 4x + 8 = 4x - 4x - 12 4x + 8 = -12 4x + 8 - 8 = -12 - 8 4x = -20 4x/4 = -20/4 x = -5
4x -8 = -4
8 + y = 4x8 + y - 4x = 4x - 4x 8 + y - 4x = 0 8 - 4x + y = 0
-4x=2y-16 +16 +16 (-4x+16)=(2y) /2 /2 y=-2x+8
It can't be solved because its discriminant is less than zero
-4x + 8 = -4 -4x + 8 - 8 = -4 -8 -4x = -12 -4x/-4 = -12/-4 x = 3
4x-3-8 = 8 4x = 8+8+3 4x = 19 x = 4 and 3/4
8-3x-x = 12 8-4x = 12 -4x = 12-8 -4x = 4 x = -1
The inverse function is obtained by interchanging corresponding values of x and y and then transposing the resulting equation to make y the subject. f(x) = y = 8x + 5 therefore f-1(x) = x = 8y + 5 : 8y = x - 5 : y = (x - 5)/8 The inverse function of y = 8x + 5 is y = (x - 5)/8